The algebraic and geometric classification of nilpotent binary and mono Leibniz algebras

Abstract

This paper is devoted to the complete algebraic and geometric classification of complex $5$-dimensional nilpotent binary Leibniz and $4$-dimensional nilpotent mono Leibniz algebras. As a corollary, we have the complete algebraic and geometric classification of complex $4$-dimensional nilpotent algebras of nil-index $3$.

arXiv admin note: substantial text overlap with arXiv:2205.00444, arXiv:2206.00315, arXiv:2106.00336, arXiv:1912.02691, arXiv:1812.01442, arXiv:2307.00289